11245233254211 has 96 divisors (see below), whose sum is σ = 17978382729216. Its totient is φ = 6716504160000.

The previous prime is 11245233254201. The next prime is 11245233254291.

11245233254211 is a `hidden beast` number, since 1 + 1 + 24 + 52 + 3 + 32 + 542 + 11 = 666.

11245233254211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11245233254211 - 2⁶ = 11245233254147 is a prime.

It is a super-2 number, since 2×11245233254211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11245233254201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4185050110 + ... + 4185052796.

It is an arithmetic number, because the mean of its divisors is an integer number (187274820096).

Almost surely, 2^{11245233254211} is an apocalyptic number.

11245233254211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11245233254211 is a deficient number, since it is larger than the sum of its proper divisors (6733149475005).

11245233254211 is a wasteful number, since it uses less digits than its factorization.

11245233254211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4590 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 1124523 and 3254211, that added together give a palindrome (4378734).

The spelling of 11245233254211 in words is "eleven trillion, two hundred forty-five billion, two hundred thirty-three million, two hundred fifty-four thousand, two hundred eleven".